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umka21 [38]
3 years ago
12

What is the solution set of - |x |= -8? O {8} O {-8) O {-8, 8} O no solution

Mathematics
1 answer:
torisob [31]3 years ago
5 0
The answer is C (3rd answer choice) O {-8,8}.
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Given various values of the linear functions f(x) and g(x) in the table, determine the y-intercept of (f- g)(x).
lisabon 2012 [21]

The y-intercept of linear function (f- g)(x) is (0,9)

<h3>How to determine the y-intercept?</h3>

The table of values is given as:

x   -6 -4 -1 3 4

f(x) 15 11 5 -3 -5

g(x) -36 -26 -11 9 14

The equations of the functions is calculated using:

y = \frac{y_2 -y_1}{x_2-x_1} * (x -x_1) + y_1

So, we have:

f(x) = \frac{11 -15}{-4 + 6} * (x + 6) + 15

Evaluate

f(x) = -2x + 3

Also, we have:

g(x) = \frac{-26 + 36}{-4 + 6} * (x + 6) - 36

Evaluate

g(x) = 5x - 6

Next, we calculate (f - g)(x) using:

(f - g)(x) = f(x) - g(x)

This gives

(f - g)(x) = -2x + 3 - 5x + 6

Substitute 0 for x

(f - g)(0) = -2(0) + 3 - 5(0) + 6

Evaluate

(f - g)(0) = 9

Hence, the y-intercept of (f- g)(x) is (0,9)

Read more about linear functions at:

brainly.com/question/24896196

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7 0
2 years ago
There are 150 new employees at a tech company in Southern California. 30 new employees are randomly assigned to each orientation
Lunna [17]

Answer:

Step-by-step explanation:

There are <u>150</u> new employees in the sample space. There are <u>30</u> new employees in each event. P(C)= <u>1/5,</u> is the probability that you choose new employees that has been assigned to the orientation group C.

3 0
3 years ago
What are the intercepts for x and y ? thanks in advance
SpyIntel [72]

Answer:

see explanation

Step-by-step explanation:

The x- intercept is the value of x where the line crosses the x- axis.

The x- intercept is (0.3, 0)

The y- intercept is the value of y where the line crosses the y- axis

The y- intercept is (0, 0.4)

3 0
3 years ago
Evaluate A 2 - B 2 for A = 4 and B = -5.
nikdorinn [45]
8+-10=-2  you multiply and combine the variables and numbers.
4 0
3 years ago
Use synthetic division to solve (2x^3+4x^2-35x+15) divided by (x-3) What is the quotient?
Salsk061 [2.6K]

Answer:


Step-by-step explanation:

The only thing you need to watch carefully is the divisor which in this case is   x - 3. The divisor, in synthetic division, is the number that will make the binomial go to 0.  

x - 3 =0

x = 3

So the divisor is 3.

3  ||  2    4    -35    15

             6     30    -15

======================

       2   10    -5      0

So the quotient is

2x^2 + 10x - 5 with no remainder


7 0
3 years ago
Read 2 more answers
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